Consider the following problem. You have five faculty members in your department and you wish to allocate them to five offices so that a single faculty member occupies each office. Due to their research areas, some faculty members have close collaborations. Let fij denote the measure of research collaboration between faculty members i and j, i = 1,...,5; j = 1,...,5; ij. Larger values of fij indicate a higher level of collaboration. The distance between office k and office l is given by dkl, where k = 1,...,5; l = 1,...,5; kl. All the offices are located next to one another in a row so that dkl = |kl|, k = 1,...,5; l = 1,...,5; kl. If faculty member i is located in office k and faculty member j is in office l, then the cost of this assignment is fij.dkl, i = 1,...,5; j = 1,...,5; ij, k = 1,...,5; l = 1,...,5; kl

PS: You can assume any fij data in the light of information given above.

Consider the following problem. You have five faculty members in your department and you wish to allocate them to five offices so that a single faculty member occupies each office. Due to their research areas, some faculty members have close collaborations. Let f; denote the measure of research collaboration between faculty members i and j, i = 1,..,5; j = 1,..,5; i+j. Larger values of f; indicate a higher level of collaboration. The distance between office k and office lis given by da, where k = 1,..,5; 1 = 1,...,5; k#l. All the offices are located next to one another in a row so that du = |k-11, k = 1,...,5; = 1,...,5; l. If faculty member i is located in office k and faculty member j is in office ), then the cost of this assignment is fides i = 1,.,5; j = 1,...,5; i+j, k = 1,...,5; 7 = 1,...,5; k#1. =